In this paper we have developed a framework that allows us to introduce
deviations from GR to any frequency-domain inspiral phasing, assuming
that such corrections are small modifications to the GR signal.
For theory-agnostic tests, our FTI framework has already been successfully applied to GWs
observed by LIGO and Virgo detectors by the LVC in Refs. [1]}, [2]}, [3]}, [4]}, [5]}, [6]}, while for theory-specific tests
the FTI method was employed in Ref. [7]} to set bounds
on an effective-field theory of GR using BBH signals.
